Speaker: Professor LU Siyuan (陆思远),McMaster University(Canada)
Time: 10:00- 11:00 am, 4th, Sep. 2025
Place: Room 310, Mathematical Building
Title: A priori C^2 estimate for nonlinear equations I: Hessian equation
Abstract: Motivated by isometric embedding theorem, presribed curvature measure problem as well as constant rank theorem, we will discuss the global C^2 estimate for Hessian equation with general right hand side. We will focus on the main difficulty of this problem. If time permitted, we will also discuss its connections with asymptotically Pleatau problem, L_p Christoffel-Minkowski problem and self-shrinker of curvature flow.